Master Kinematic Joints and Degrees of Freedom in a System

A course with easy lessons and step-by-step exercises with solutions for students interested in Theory of Machines

What you’ll learn
Understand common types of kinematic constraints such as the revolute, prismatic and rigid joints
Experience more complex constraints such as the pin-on-slot joint as well as the sliding and rolling contacts
Master how to analyze a mechanical system to determine its Degrees of Freedom
Learn how to deal with challenging cases such as over-constrained systems
Find lots of examples to have a clear picture of complex concepts
Practice what you have learned by completing a set of easy to complex exercises with detailed solutions
Get prepared for the exam via a quick review of the entire course followed by some more complex exercises
Have a chance to take a final exam and self-assess your progress using the provided solutions
Requirements
No requirements. You will learn everything needed about the rigid bodies and the kinematic joints in order to determine the Degrees of Freedom in a Mechanical System.
Description
In this course, you will master many types of kinematic joints and will be able to analyze a mechanical system to determine its Degrees of Freedom. You will understand common kinematic constraints such as the revolute, prismatic and rigid joints, and will learn how to deal with challenging cases such as over-constrained systems. You will also experience some more complex constraints such as the pin-on-slot joint, and the sliding and rolling contacts. During each lecture, you will find enough examples and illustrations to fully grasp the concepts and have a clear picture of them. After each lecture, there will be several exercises for you to practice what you have learned. Following each exercise, you will have access to my detailed solutions in a separate lecture, which might be a good chance for you to compare with yours and evaluate your learning process. After completing all the lessons, there will be a review section giving you a quick summary of all you have learned followed by some more complex exercises from the entire course. The role of this review is to make you prepared for the final exam coming at the end of the course. You can finally assess your exam using the provided solutions and celebrate your progress.

Overview

Section 1: Introduction and Course Outline

Lecture 1 Introduction and Course Outline

Section 2: Understand Common Kinematic Joints

Lecture 2 Revolute Joint

Lecture 3 Prismatic Joint

Lecture 4 Rigid Joint

Lecture 5 Exercise: Common Kinematic Joints

Lecture 6 Solution: Common Kinematic Joints

Lecture 7 Deal with Revolute Joints between Convergent Links

Lecture 8 Exercise: Revolute Joints between Convergent Links

Lecture 9 Solution: Revolute Joints between Convergent Links

Lecture 10 Simplify a Triangle of Pinned Links

Lecture 11 Identify Over-Constrained Cases

Lecture 12 Exercise: Over-Constrained Cases

Lecture 13 Solution: Over-Constrained Cases

Section 3: Understand Pin on Slot Joint

Lecture 14 Pin on Slot Joint

Lecture 15 Exercise: Pin on Slot Joint

Lecture 16 Solution: Pin on Slot Joint

Section 4: Learn Sliding and Rolling Contacts

Lecture 17 Sliding and Rolling Contacts

Lecture 18 Exercise: Sliding and Rolling Contacts

Lecture 19 Solution: Sliding and Rolling Contacts

Section 5: Course Review and More Complex Exercises

Lecture 20 Course Review

Lecture 21 Exercise: Course Review

Lecture 22 Solution: Course Review

Section 6: Course Exam

Lecture 23 Course Exam

Lecture 24 Solution: Course Exam

Students of Engineering interested in Theory of Machines,Anyone curious about kinematic joints and mobility of mechanisms